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Finding the Fourth Proportional to 17,973.06, 24,802.12 and 10,014.82

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Solution

The fourth proportional to 17,973.06, 24,802.12 and 10,014.82 is: 13,820.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,973.06 : 24,802.12 = 10,014.82 : x
  2. Step 2: Convert to fraction form
    17,973.06/24,802.12 = 10,014.82/x
  3. Step 3: Cross multiply
    17,973.06x = 24,802.12 × 10,014.82
  4. Step 4: Simplify right side
    17,973.06x = 248,388,767.42
  5. Step 5: Solve for x
    x = 248,388,767.42/17,973.06
  6. Step 6: Final answer
    x = 13,820.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.